Формулы Flashcards
1
Q
tg(a±b)
A
(tga±tgb)/(1∓tga*tgb)
2
Q
sina±sinb
A
2sin((a±b)/2)cos((a∓b)/2)
3
Q
cosa+cosb
A
2cos((a+b)/2)cos((a-b)/2)
4
Q
cosa-cosb
A
-2sin((a+b)/2)sin((a-b)/2)
5
Q
tga±tgb
A
(sin(a±b))/cosa*cosb
6
Q
sinα ∙ sinβ
A
(cos(α - β) - cos(α + β))/2
7
Q
sinα ∙ cosβ
A
(sin(α - β) + sin(α + β))/2
8
Q
cosα ∙ cosβ
A
(cos(α - β) + cos(α + β))/2
9
Q
tgx^2 + 1
A
1/cosx^2
10
Q
ctgx^2 + 1
A
1/sinx^2
11
Q
tg2x
A
2tgx/(1-tgx^2)
12
Q
ctg2x
A
(ctgx^2-1)/2ctgx
13
Q
sin3x
A
3sinx - 4sinx^3
14
Q
cos3x
A
4cosx^3 - 3cosx
15
Q
sin(α ± β)
A
sinα cosβ ± cosα sinβ